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Finding the Fourth Proportional to 566,717.88, 782,066.80 and 312,067

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Solution

The fourth proportional to 566,717.88, 782,066.80 and 312,067 is: 430,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,717.88 : 782,066.80 = 312,067 : x
  2. Step 2: Convert to fraction form
    566,717.88/782,066.80 = 312,067/x
  3. Step 3: Cross multiply
    566,717.88x = 782,066.80 × 312,067
  4. Step 4: Simplify right side
    566,717.88x = 244,057,240,075.60
  5. Step 5: Solve for x
    x = 244,057,240,075.60/566,717.88
  6. Step 6: Final answer
    x = 430,650.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.